What is the order of the rate of production of the bacteria? How many bacteria w

Question

What is the order of the rate of production of the bacteria?
How many bacteria will be present after 126 min?
What is the rate constant for the process?

stion 33 of 33 Map University Science Books oresented by Sapling Leaming eneral Chemistry 4th Edition Suppose that you place exactly 100 bacteria into a flask containing nutrients for the bacteria and that you find the following data at 37 t (min) Number of bacteria 0 18.0 36.0 54.0 72.0 100 200 400 800 1600 What is the order of the rate of production of the bacteria? How many bacteria will be present after 126 min? Number O zero order O first order O second order bacte ria What is the rate constant for the process? Number units Select answer

Explanation / Answer

when we are observing the given data it clearly indicates

for every 18min the rate of production of bacteria becomes double.this is possible in only first order kinetics.

therefore it follows first order kinetics.

2)

from the table

at 72 minutes the rate of production is1600

(72+18)= 90 min.-------------------------------3200

(90+18)= 108 min--------------------------------6400

(108+18)= 126min----------------------------12800 bacteria

therfore at 126min ,12800 bacteria will be present

3)

from the data it is found that half life time = 18 minutes

in the first order kinetics

rate constant = 0.693/half life time = 0.693/18 = 0.0385 min-1

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